Q: What are the factor combinations of the number 3,796,735?

 A:
Positive:   1 x 37967355 x 759347233 x 162951165 x 3259
Negative: -1 x -3796735-5 x -759347-233 x -16295-1165 x -3259


How do I find the factor combinations of the number 3,796,735?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 3,796,735, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 3,796,735
-1 -3,796,735

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 3,796,735.

Example:
1 x 3,796,735 = 3,796,735
and
-1 x -3,796,735 = 3,796,735
Notice both answers equal 3,796,735

With that explanation out of the way, let's continue. Next, we take the number 3,796,735 and divide it by 2:

3,796,735 ÷ 2 = 1,898,367.5

If the quotient is a whole number, then 2 and 1,898,367.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 3,796,735
-1 -3,796,735

Now, we try dividing 3,796,735 by 3:

3,796,735 ÷ 3 = 1,265,578.3333

If the quotient is a whole number, then 3 and 1,265,578.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 3,796,735
-1 -3,796,735

Let's try dividing by 4:

3,796,735 ÷ 4 = 949,183.75

If the quotient is a whole number, then 4 and 949,183.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 3,796,735
-1 3,796,735
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

152331,1653,25916,295759,3473,796,735
-1-5-233-1,165-3,259-16,295-759,347-3,796,735

More Examples

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